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Class 8 Maths Worksheet: Exponents and Powers

Maths worksheets lesson 57: Exponents and powers · Set 636 · 40 sums
TalentJR

The method (Same base, work the powers): aᵐ × aⁿ = aᵐ⁺ⁿ, aᵐ ÷ aⁿ = aᵐ⁻ⁿ, (aᵐ)ⁿ = aᵐⁿ, a⁰ = 1. a⁻ⁿ = 1/aⁿ, and (a/b)⁻ⁿ = (b/a)ⁿ. Standard form: one digit before the point × a power of 10 — 4500000 = 4.5 × 10⁶. × 10⁻ⁿ moves the decimal point n places to the left: 2.5 × 10⁻³ = 0.0025.

NameDateTime takenScore ___ / 40
  1. 1.What is the value of (1/5)⁻¹? =
  2. 2.Write 29,00,000 in standard form as 2.9 × 10ⁿ. What is n?
  3. 3.Write 3.9 × 10⁻¹ as a decimal. =
  4. 4.Write 2.7 × 10⁻¹ as a decimal. =
  5. 5.What is the value of 10⁶ × 10⁻⁴? =
  6. 6.Write 5¹⁵ ÷ 5⁹ as a single power 5ⁿ. What is n?
  7. 7.What is the value of 8⁻³ (as a fraction)? =
  8. 8.What is the value of 2⁵ × 2⁻²? =
  9. 9.Write 5.5 × 10⁻⁴ as a decimal. =
  10. 10.5.8 × 10⁷ =
  11. 11.Write 2⁸ ÷ 2⁴ as a single power 2ⁿ. What is n?
  12. 12.Write 2¹⁶ ÷ 2⁸ as a single power 2ⁿ. What is n?
  13. 13.What is the value of 3¹ × 3⁻¹? =
  14. 14.Write (6⁹)⁶ as a single power 6ⁿ. What is n?
  15. 15.Write 1.8 × 10⁻³ as a decimal. =
  16. 16.7.9 × 10⁵ =
  17. 17.What is the value of 3³ × 3⁻⁶? =
  18. 18.What is the value of 2¹¹? =
  19. 19.What is the value of 5³ × 5⁻²? =
  20. 20.Write 3.5 × 10⁻³ as a decimal. =
  21. 21.5 × 10² =
  22. 22.Write 3 × 10⁻² as a decimal. =
  23. 23.What is the value of 2⁵? =
  24. 24.Write 8¹³ ÷ 8⁹ as a single power 8ⁿ. What is n?
  25. 25.Write 5.3 × 10⁻² as a decimal. =
  26. 26.What is the value of 8³? =
  27. 27.What is the value of (2/3)⁻²? =
  28. 28.Write 90,000 in standard form as 9 × 10ⁿ. What is n?
  29. 29.What is the value of 5³ × 5⁻¹? =
  30. 30.What is the value of 10⁻³ (as a fraction)? =
  31. 31.Write 6⁶ × 6⁶ as a single power 6ⁿ. What is n?
  32. 32.What is the value of 2⁻⁴ (as a fraction)? =
  33. 33.Write (5⁵)³ as a single power 5ⁿ. What is n?
  34. 34.Write 57,00,000 in standard form as 5.7 × 10ⁿ. What is n?
  35. 35.Write 8⁶ × 8⁴ as a single power 8ⁿ. What is n?
  36. 36.What is the value of 5² × 5⁻⁴? =
  37. 37.1.4 × 10⁵ =
  38. 38.Write 2¹⁷ ÷ 2⁸ as a single power 2ⁿ. What is n?
  39. 39.What is the value of (8/9)⁻¹? =
  40. 40.What is the value of 9³? =

Answer key

  1. 5
  2. 6
  3. 0.39
  4. 0.27
  5. 100
  6. 6
  7. 1/512
  8. 8
  9. 0.00055
  10. 58000000
  11. 4
  12. 8
  13. 1
  14. 54
  15. 0.0018
  16. 790000
  17. 1/27
  18. 2048
  19. 5
  20. 0.0035
  21. 500
  22. 0.03
  23. 32
  24. 4
  25. 0.053
  26. 512
  27. 9/4
  28. 4
  29. 25
  30. 1/1000
  31. 12
  32. 1/16
  33. 15
  34. 6
  35. 10
  36. 1/25
  37. 140000
  38. 9
  39. 9/8
  40. 729

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